Polynomial identities involving sums and differences of like powers include
























which are the polynomial versions of the so-called binomial numbers.
Further identities include






The identity


was used by Lamé in his proof that Fermat's last theorem was true for n = 7.



(1)



(2)



(3)



(4)



(5)



(6)



(7)



(8)
which are the polynomial versions of the so-called binomial numbers.
Further identities include



(9)



(10)
The identity


(11)
was used by Lamé in his proof that Fermat's last theorem was true for n = 7.
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